1.57 is what percent of 100.6 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 100.6 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 100.6, so we can write it down as 100%=100.6.
4. We know, that x% equals 1.57 of the output value, so we can write it down as x%=1.57.
5. Now we have two simple equations:
1) 100%=100.6
2) x%=1.57
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=100.6/1.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.57 is what percent of 100.6

100%/x%=100.6/1.57
(100/x)*x=(100.6/1.57)*x       - we multiply both sides of the equation by x
100=64.076433121019*x       - we divide both sides of the equation by (64.076433121019) to get x
100/64.076433121019=x
1.5606361829026=x
x=1.5606361829026

now we have:
1.57 is 1.5606361829026% of 100.6